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Place value of each digit

CONCEPTUAL
Mathematics›Number Representation & Place Value|Ages 8—9|ID: mt_jY7uf0Cb7o

Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

Mastery Evidence

  • State the value of each digit in a four-digit number (e.g. in 7,345 the 7 represents 7 thousands)
  • Partition a four-digit number into thousands, hundreds, tens, and ones
  • Compose a four-digit number from given place-value parts (e.g. 3000 + 400 + 50 + 2 = 3,452)

Assessment Prompt

“If [child] sees the number 5,347, can they tell you the value of each digit — that the 5 means 5,000, the 3 means 300, the 4 means 40, and the 7 means 7?”

Curriculum Standards1 alignment

Ma/KS2/Y4/NPV/4The national curriculum in England
Recognise place value

recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

Mathematics · Key Stage 2

Prerequisites1

Show full prerequisite tree
  • The three digits of a three-digit number hard

    Four-digit place value extends three-digit place value

    • A Hundred Is Ten Tens hard

      Three-digit place value requires understanding 100 as a unit

      • A Ten Is Ten Ones hard

        100 as ten tens extends understanding of 10 as ten ones

        • The teen numbers hard

          Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'

          • How Many in Total? hard

            Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities

            • One-to-one counting hard

              Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

          • Reading and writing numbers to 20 hard

            Composing/decomposing teen numbers requires reading and writing those numerals

            • How Many in Total? hard

              Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)

              • One-to-one counting hard

                Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

            • Writing digits 0-9 hard

              Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)

      • The two digits of a two-digit number hard

        Must understand two-digit place value before extending to hundreds

        • A Ten Is Ten Ones hard

          Understanding tens and ones place value requires the concept of 10 as a bundle

          • The teen numbers hard

            Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'

            • How Many in Total? hard

              Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities

              • One-to-one counting hard

                Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

            • Reading and writing numbers to 20 hard

              Composing/decomposing teen numbers requires reading and writing those numerals

              • How Many in Total? hard

                Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)

                • One-to-one counting hard

                  Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

              • Writing digits 0-9 hard

                Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)

        • The teen numbers hard

          General two-digit place value extends from understanding teen number composition

          • How Many in Total? hard

            Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities

            • One-to-one counting hard

              Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

          • Reading and writing numbers to 20 hard

            Composing/decomposing teen numbers requires reading and writing those numerals

            • How Many in Total? hard

              Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)

              • One-to-one counting hard

                Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

            • Writing digits 0-9 hard

              Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)

    • The two digits of a two-digit number hard

      Three-digit PV extends two-digit PV (tens and ones)

      • A Ten Is Ten Ones hard

        Understanding tens and ones place value requires the concept of 10 as a bundle

        • The teen numbers hard

          Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'

          • How Many in Total? hard

            Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities

            • One-to-one counting hard

              Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

          • Reading and writing numbers to 20 hard

            Composing/decomposing teen numbers requires reading and writing those numerals

            • How Many in Total? hard

              Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)

              • One-to-one counting hard

                Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

            • Writing digits 0-9 hard

              Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)

      • The teen numbers hard

        General two-digit place value extends from understanding teen number composition

        • How Many in Total? hard

          Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities

          • One-to-one counting hard

            Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

        • Reading and writing numbers to 20 hard

          Composing/decomposing teen numbers requires reading and writing those numerals

          • How Many in Total? hard

            Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)

            • One-to-one counting hard

              Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

          • Writing digits 0-9 hard

            Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)

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